Question: On R2 add vectors as usual, but multiply them by the formula (a, b) (c,d) = (ac, bd). Does R2 with this addition and

On R2 add vectors as usual, but multiply them by the formula

On R2 add vectors as usual, but multiply them by the formula (a, b) (c,d) = (ac, bd). Does R2 with this addition and multiplication form a field? (HINT: when can you divide?)

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